Proof of Entangled Particles being Indetermined

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pinkumbra
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I'm sure this has been asked a million times, but how do we know that entangled particles don't "choose" their states when they're separated? If possible, choose the most basic example. Thanks!
 
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They require very careful experiments to show this - however, the difference is in the statistics and the proof is Bell's inequality. Any experiment that verifies this has demonstrated the effect.

Also see:
https://www.physicsforums.com/showthread.php?t=613582
... and the links in that thread for specific examples.